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Finding the Fourth Proportional to 8,674.31, 11,970.56 and 4,695.46

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Solution

The fourth proportional to 8,674.31, 11,970.56 and 4,695.46 is: 6,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.31 : 11,970.56 = 4,695.46 : x
  2. Step 2: Convert to fraction form
    8,674.31/11,970.56 = 4,695.46/x
  3. Step 3: Cross multiply
    8,674.31x = 11,970.56 × 4,695.46
  4. Step 4: Simplify right side
    8,674.31x = 56,207,267.47
  5. Step 5: Solve for x
    x = 56,207,267.47/8,674.31
  6. Step 6: Final answer
    x = 6,479.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.